What is the Greatest Common Factor of 57138 and 57148?

Greatest common factor (GCF) of 57138 and 57148 is 2.

GCF(57138,57148) = 2

We will now calculate the prime factors of 57138 and 57148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57138 and 57148.

How to find the GCF of 57138 and 57148?

We will first find the prime factorization of 57138 and 57148. After we will calculate the factors of 57138 and 57148 and find the biggest common factor number .

Step-1: Prime Factorization of 57138

Prime factors of 57138 are 2, 3, 89, 107. Prime factorization of 57138 in exponential form is:

57138 = 2¹ × 3¹ × 89¹ × 107¹

Step-2: Prime Factorization of 57148

Prime factors of 57148 are 2, 7, 13, 157. Prime factorization of 57148 in exponential form is:

57148 = 2² × 7¹ × 13¹ × 157¹

Step-3: Factors of 57138

List of positive integer factors of 57138 that divides 57138 without a remainder.

1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569

Step-4: Factors of 57148

List of positive integer factors of 57148 that divides 57138 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 157, 182, 314, 364, 628, 1099, 2041, 2198, 4082, 4396, 8164, 14287, 28574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57138 and 57148. The biggest common factor number is the GCF number.
So the greatest common factor 57138 and 57148 is 2.

Also check out the Least Common Multiple of 57138 and 57148